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emmainna [20.7K]
3 years ago
9

Write an expression: The original price p of an item less a discount of 20%

Mathematics
1 answer:
Serga [27]3 years ago
8 0
P-20% could be that I’m not sure I tried
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Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and
Step2247 [10]

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

OA = 2x + 9y

OB = 4x + 8y

CD = 4x - 2y

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

AB = (c - a)x + (d - b)y

Where:

OA = ax + by ====> OA = 2x + 9y

OB = cx + dy ====> OB = 4x + 8y

This implies that:

a =2      b = 9     c = 4   d = 8  

So:

AB = (c - a)x + (d - b)y

AB = (4 - 2)x + (8 - 9)y

AB = 2x  -y

So, we have:

AB = 2x  -y

CD = 4x - 2y

Calculate the slope (m) of AB\ and\ CD

m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}

For AB

m_1 = \frac{-1}{2}

m_1 = -\frac{1}{2}

For CD

m_2 = \frac{-2}{4}

m_2 = \frac{-1}{2}

m_2 = -\frac{1}{2}

By comparison:

m_1 = m_2 = -\frac{1}{2}

This implies that both lines have the same slope

8 0
3 years ago
Simplify 16.55(8) + 5.97(3)​
34kurt

Answer:

150.31

Step-by-step explanation:

First, use Order of Operation to multiply.

16.55(8) + 5.97(3)​

= 132.4 + 17.91

= 150.31

7 0
3 years ago
Read 2 more answers
You deposit $975.52 in a bank account. Find the balance after 4 years if the account pays 7.25% annual interest compounded quart
sladkih [1.3K]

Answer:

The final ballance will be $1300.37.

Step-by-step explanation:

In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:

S = P(1 + r/n)^(n*t)

Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:

S = 975.52*(1 + 0.0725/4)^(4*4)

S = 975.52*(1.018125)^(16)

S = 975.52*1.333

S = 1300.37

The final ballance will be $1300.37.

4 0
3 years ago
Simplify the expression 8y+y-5y
IRINA_888 [86]

Hello

8y+y-5y = 9y- 5y =4y

or  8y+y-5y = y(8+1-5) =y (9-5)  = y(4) =4y

4 0
3 years ago
Read 2 more answers
8x + 6 - 2x = 34 x= ?
e-lub [12.9K]
8x + 6 - 2x = 34x

Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x

Subtract 6x from both sides:
6 = 34x- 6x

Simplify 34x - 6x to 28x:
6 = 28x

Divide both sides by 28:
\frac{6}{28} = x

Simplify \frac{6}{28} to \frac{3}{14} :
\frac{3}{14} = x

Now switch sides and the answer is:

x = \frac{3}{14}

:) <3

5 0
3 years ago
Read 2 more answers
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